High-order, unconditionally maximum-principle preserving finite element method for the Allen-Cahn equation
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Publication:6106942
DOI10.1016/j.apnum.2023.03.002MaRDI QIDQ6106942
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Publication date: 3 July 2023
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
finite element methodmass-lumpingAllen-Cahn equationsintegrating factor Runge-Kuttaunconditionally maximum-principle preserving
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx)
Related Items
Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation, Large time-stepping, delay-free, and invariant-set-preserving integrators for the viscous Cahn-Hilliard-Oono equation
Cites Work
- Unnamed Item
- Unnamed Item
- On the maximum principle preserving schemes for the generalized Allen-Cahn equation
- Galerkin finite element methods for parabolic problems
- Sufficient conditions for a discrete maximum principle for high order collocation methods
- A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier
- Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar hyperbolic equations with stiff source terms
- A phase field concept for multiphase systems
- The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle
- Linear energy stable and maximum principle preserving semi-implicit scheme for Allen-Cahn equation with double well potential
- Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint
- Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations
- Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations
- Maximum-principle-preserving local discontinuous Galerkin methods for Allen-Cahn equations
- The high-order maximum-principle-preserving integrating factor Runge-Kutta methods for nonlocal Allen-Cahn equation
- Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations
- Third-order conservative sign-preserving and steady-state-preserving time integrations and applications in stiff multispecies and multireaction detonations
- Comparison study of the conservative Allen-Cahn and the Cahn-Hilliard equations
- Stabilized energy factorization approach for Allen-Cahn equation with logarithmic Flory-Huggins potential
- Efficient, non-iterative, and second-order accurate numerical algorithms for the anisotropic Allen-Cahn equation with precise nonlocal mass conservation
- Numerical approximations for a new \(L^2\)-gradient flow based phase field crystal model with precise nonlocal mass conservation
- A modified phase field approximation for mean curvature flow with conservation of the volume
- High Order Mass-Lumping Finite Elements on Simplexes
- Nonlocal reaction—diffusion equations and nucleation
- On Logarithmic Norms
- Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
- A Morphological Scheme for Mean Curvature Motion and Applications to Anisotropic Diffusion and Motion of Level Sets
- Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
- Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle
- Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations
- Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle
- Interface Dynamics and Far-From-Equilibrium Phase Transitions in Multilayer Epitaxial Growth and Erosion on Crystal Surfaces: Continuum Theory Insights
